Random object transform in loop (Animation Nodes)
First step would be to shuffle your list of objects before passing it to the routine.
Second, you can use the index of the object as a delay for your start of the animation. If 1 frame is too short, you can use a multiplier to create more offset in the animation.

Here is the updated node tree with the added nodes.



And here is the result of the objects moving from point A to B.